Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
Answer:
-63/16
Step-by-step explanation:
csc x = 5/3
sin x = 3/5
So x is the angle in a 3-4-5 triangle, opposite of the 3.
cos y = 5/13
So y is the angle in a 5-12-13 triangle, opposite of the 12.
tan(x + y) = (tan x + tan y) / (1 − tan x tan y)
tan(x + y) = (3/4 + 12/5) / (1 − (3/4)(12/5))
tan(x + y) = (3/4 + 12/5) / (1 − 9/5)
tan(x + y) = (15 + 48) / (20 − 36)
tan(x + y) = -63/16
Answer:
The answer is 53 or Square Root (sqrt) of 2809
Step-by-step explanation:
a^2+b^2=c^2
28^2+45^2=c^2
784+2025=c^2
c^2=sqrt 2809
c = 53